The angles of elevation of the top of a tree 220 meters high from two points lie on the same plane are 30° and 45°. What is the distance (in metres) between the two points?
By increasing the price of entry ticket to a fair in the ratio 11:16, the number of visitors to the fair has decreased in the ratio 19:9. In what ratio has the total collection increased or decreased?
In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and AE are 8 cm, 4 cm and 12 cm respectively, what is the length of AC?